Answer:
(x, y) -------- ( -x,-y) 
Rule : Rotation center (0,0) , angle of rotation 180° or -180° 
Step-by-step explanation:
The vertices of the object and image have coordinates at ;
D(-4,2), --------D'( 4,-2 ), 
E (-1,3), --------E'( 1,-3 ), 
F (-1,-3),--------F'(1,3), 
G (-3,-4),------G'( 3,4 ), 
You notice that after the rotation ;
( x, y )-------change to (-x,-y), 
This rule is rotation center origin angle 180°